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- Title
The study of -curvature on a homogeneous Finsler space with Randers-Matsumoto metric.
- Authors
Desai, Surekha; Narasimhamurthy S. K.; Raghavendra R. S.
- Abstract
In this article, we have focused on the study of S-curvature of Randers-Matsumoto metric on a homogeneous Finsler space. We have deduced the condition for an isometry of Finsler homogeneous space with Randers-Matsumoto metric to be an isometry of Riemannian homogeneous space and proved that the group of isometries of Finsler space are closed subgroups of that of Riemannian space. We have examined the existence of an invariant vector field. Further, we have derived the formula for S-curvature on the reductive homogeneous space, discussed the condition for isotropic S-curvature, and derived the S-curvature of the Randers-Matsumoto metric for the homogenous space by using S-curvature formula.
- Subjects
FINSLER spaces; CURVATURE; RIEMANNIAN manifolds; VARIATIONAL approach (Mathematics); HESSIAN matrices
- Publication
Mapana Journal of Sciences, 2023, Vol 22, Issue 1, p13
- ISSN
0975-3303
- Publication type
Article
- DOI
10.12723/mjs.64.2